Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4981/976, 5923/125 quickly i.e. 29502463 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4981/976, 5923/125 is 29502463.
LCM(4981/976, 5923/125) = 29502463
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4981/976,5923/125
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 4981,5923
Least Common Multiple of Numerators i.e. LCM of 4981,5923 is 29502463.
GCF of Denominators means GCF of 976,125 as per the given fractions.
GCF of 976,125 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4981,5923
Given numbers has no common factors except 1. So, there LCM is their product i.e 29502463
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 4981,5923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4981,5923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4981,5923) x common factors =1 x 1 = 1
LCM(4981,5923) = ( 4981 × 5923 ) / 1
LCM(4981,5923) = 29502463 / 1
LCM(4981,5923) = 29502463
Lets's calculate GCF of 976,125
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29502463/1
Therefore the LCM of Fractions 4981/976,5923/125 is 29502463
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Greatest Common Factor
We found the factors 976,125 . The biggest common factor number is the GCF number.
So the greatest common factor 976,125 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 4981/976, 5923/125?
Answer: LCM of Numerators as per given numbers 4981/976, 5923/125 is
LCM of Numerators i.e. for 4981,5923 is 29502463
GCF of denominators i.e. for 976,125 is 1.
Thus, LCM of Fractions is 29502463.Finally, LCM of Fractions for 4981/976, 5923/125 is 29502463.